Wave blocking phenomenon of surface waves on a shear flow with aconstant vorticity

Philippe Maïssa (1) , Germain Rousseaux (2) , Yury Stepanyants (3)

1 LJAD - Laboratoire Jean Alexandre Dieudonné
2 HydEE - Hydrodynamique et écoulements environnementaux [Institut Pprime]
3 Department of Mathematics and Computing

Propagation of gravity-capillary surface waves on a background shear flow with a constant vorticity is studied and compared with the case when the background flow is uniform in depth. Under the assumption that the background flow gradually varies in the horizontal direction, the primary attention is paid to the wave blocking phenomenon; the effect of vorticity on this phenomenon is studied in detail. The conditions for wave blocking are obtained and categorized for different values of the governing dimensionless parameters: Froude number, dimensionless vorticity, and surface tension.

Domaines: Mécanique des fluides [physics.class-ph]

Philippe Maïssa, Germain Rousseaux, Yury Stepanyants. Wave blocking phenomenon of surface waves on a shear flow with aconstant vorticity. Physics of Fluids, 2016, 28, pp.032102. ⟨10.1063/1.4942116⟩. ⟨hal-01284705⟩